Temperature in Second-Order Desorption Process

Question:
Show that for a second-order desorption process the temperature at the peak maximum in the temperature-programmed desorption experiment is given by

(Hint: The surface coverage at the temperature corresponding to the peak has been shown by Redhead to be Γ₀ /2.)

Solution:
The rate of a second-order desorption reaction with surface coverage of Γ is
given by,

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